10468800 has 126 divisors (see below), whose sum is σ = 37259768. Its totient is φ = 2787840.

The previous prime is 10468789. The next prime is 10468811. The reversal of 10468800 is 886401.

It is an interprime number because it is at equal distance from previous prime (10468789) and next prime (10468811).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14037 + ... + 14763.

Almost surely, 2^10468800 is an apocalyptic number.

10468800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18629884).

10468800 is an abundant number, since it is smaller than the sum of its proper divisors (26790968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10468800 is a wasteful number, since it uses less digits than its factorization.

10468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10468800 is about 3235.5525030511. The cubic root of 10468800 is about 218.7588513425.

The spelling of 10468800 in words is "ten million, four hundred sixty-eight thousand, eight hundred".